Question

A baseball diamond is pictured below. A baseball diamond is a square with sides of 90 feet. If a runner tries to steal second base, how far must the catcher, at home plate, throw to get the runner out?

Answer 1

`\huge{\green{\underline{\underline{\tt{\orange{ANSWER:-}}}}}}`

By the Pythagoras theorem,

`:\implies\sf{ {90}^(2) + {90}^(2) = {x}^(2) } \\ \\ :\implies\sf{8100 + 8100 = {x}^(2) } \\ \\ :\implies\sf{ {x}^(2) = 8100 + 8100} \\ \\ :\implies\sf{ {x}^(2) = 16200} \\ \\ :\implies\sf{x = √(16200) } \\ \\ :\implies\sf{x = 127.2}`

Answer 2

Hey there! :

Using the Pythagorean theorem, we can find the length of the hypotenuse:

90² + 90² = x²

8100 + 8100= x²

x² = 8100 + 8100

x² = 16200

x = √ 16200

C = 127.2

Hope this helps!